On the phase diagram of the anisotropic XY chain in transverse magnetic field

Tomasz Maciążek and Jacek Wojtkiewicz

Physica A: Statistical Mechanics and its Applications, 2016, vol. 441, issue C, 131-140

Abstract: We investigate an explicit formula for ground state energy of the anisotropic XY chain in transverse magnetic field. In particular, we examine the smoothness properties of this expression. We explicitly demonstrate that the ground-state energy is infinitely differentiable on the boundary between ferromagnetic and oscillatory phases. We also confirm known 2d-Ising type behaviour in the neighbourhood of certain lines of phase diagram and give more detailed information there, calculating a few next-to-leading exponents as well as the corresponding amplitudes.

Keywords: Quantum spin chains; Heisenberg XY model; Ground state energy; Critical exponents; Phase transitions (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:441:y:2016:i:c:p:131-140

DOI: 10.1016/j.physa.2015.08.027

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